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DRA Systems: OR-Objects 1.2.4: Interface  AlgebraI
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<FONT SIZE="-1">
drasys.or.linear.algebra</FONT>
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Interface  AlgebraI</H2>
<DL>
<DT><B>All Known Implementing Classes:</B> <DD><A HREF="../../../../drasys/or/linear/algebra/Algebra.html">Algebra</A></DD>
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<DT>public interface <B>AlgebraI</B></DL>

<P>
Smart linear algebra operations.
These algebraic operations are analagous to the 
<A HREF="../../../../drasys/or/linear/blas/package-summary.html">drasys.or.linear.blas</A>, but operate on all
<A HREF="../../../../drasys/or/matrix/VectorI.html"><CODE>vector</CODE></A> and
<A HREF="../../../../drasys/or/matrix/MatrixI.html"><CODE>matrix</CODE></A> classes.
Each method checks the class type and sparcity of the arguments to determine the
best way to perform the operation.
<P><FONT COLOR="#CC0000"><FONT SIZE=+1>References:</FONT></FONT><FONT SIZE=+1></FONT><P><B><A NAME="0155510053"HREF="http://www.amazon.com/exec/obidos/ISBN=0155510053/opsresearchcomA/" TARGET="amazon.com">Linear Algebra and Its Applications</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;Gilbert Strang / Hardcover / Published 1988<BR><B><A NAME="0801854148"HREF="http://www.amazon.com/exec/obidos/ISBN=0801854148/opsresearchcomA/" TARGET="amazon.com">Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences)</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;Gene H. Golub, Charles F. Van Loan (Contributor) / Paperback / Published 1996<BR><B><A NAME="0521431085"HREF="http://www.amazon.com/exec/obidos/ISBN=0521431085/opsresearchcomA/" TARGET="amazon.com">Numerical Recipes in C : The Art of Scientific Computing</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;William H. Press, et al / Hardcover / Published 1993<BR><B><A NAME="0898712602"HREF="http://www.amazon.com/exec/obidos/ISBN=0898712602/opsresearchcomA/" TARGET="amazon.com">Parallel Algorithms for Matrix Computations </A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;K.A. Gallivan / Paperback / Published 1990<BR>
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<B>Method Summary</B></FONT></TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#add(drasys.or.matrix.MatrixI, drasys.or.matrix.MatrixI)">add</A></B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
    <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Add two matrices.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#add(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)">add</A></B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
    <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Add two vectors.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#invert(drasys.or.matrix.MatrixI)">invert</A></B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Invert a matrix.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#matrixProduct(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)">matrixProduct</A></B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;columnVector,
              <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;rowVector)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the matrix product of a column and row vector.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#multiply(drasys.or.matrix.MatrixI, drasys.or.matrix.MatrixI)">multiply</A></B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
         <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Multiply two matrices.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#multiply(drasys.or.matrix.MatrixI, drasys.or.matrix.VectorI)">multiply</A></B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
         <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Multiply a matrix by column vector.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#multiply(drasys.or.matrix.VectorI, drasys.or.matrix.MatrixI)">multiply</A></B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
         <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Multiply a row vector by matrix.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#scalerProduct(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)">scalerProduct</A></B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
              <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the dot product two vectors.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#subtract(drasys.or.matrix.MatrixI, drasys.or.matrix.MatrixI)">subtract</A></B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
         <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Subtract two matrices.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#subtract(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)">subtract</A></B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
         <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Subtract two vectors.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/linear/algebra/AlgebraI.html#transpose(drasys.or.matrix.MatrixI)">transpose</A></B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Transpose matrix.</TD>
</TR>
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<A NAME="add(drasys.or.matrix.MatrixI, drasys.or.matrix.MatrixI)"><!-- --></A><H3>
add</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A> <B>add</B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
                       <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)
                throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Add two matrices.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="subtract(drasys.or.matrix.MatrixI, drasys.or.matrix.MatrixI)"><!-- --></A><H3>
subtract</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A> <B>subtract</B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
                            <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)
                     throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Subtract two matrices.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="multiply(drasys.or.matrix.MatrixI, drasys.or.matrix.MatrixI)"><!-- --></A><H3>
multiply</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A> <B>multiply</B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
                            <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)
                     throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Multiply two matrices.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="multiply(drasys.or.matrix.VectorI, drasys.or.matrix.MatrixI)"><!-- --></A><H3>
multiply</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A> <B>multiply</B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
                            <A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;b)
                     throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Multiply a row vector by matrix.<DD><DL>
<DT><B>Returns:</B><DD>a column vector.<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="multiply(drasys.or.matrix.MatrixI, drasys.or.matrix.VectorI)"><!-- --></A><H3>
multiply</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A> <B>multiply</B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a,
                            <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)
                     throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Multiply a matrix by column vector.<DD><DL>
<DT><B>Returns:</B><DD>a row vector.<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="transpose(drasys.or.matrix.MatrixI)"><!-- --></A><H3>
transpose</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A> <B>transpose</B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a)</PRE>
<DL>
<DD>Transpose matrix.</DL>
<HR>

<A NAME="invert(drasys.or.matrix.MatrixI)"><!-- --></A><H3>
invert</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A> <B>invert</B>(<A HREF="../../../../drasys/or/matrix/MatrixI.html">MatrixI</A>&nbsp;a)
                   throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Invert a matrix.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the matrix isn't square or the inverse doesn't exist.</DL>
</DD>
</DL>
<HR>

<A NAME="add(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)"><!-- --></A><H3>
add</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A> <B>add</B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
                       <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)
                throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Add two vectors.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="subtract(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)"><!-- --></A><H3>
subtract</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseVector.html">DenseVector</A> <B>subtract</B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
                            <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)
                     throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Subtract two vectors.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="scalerProduct(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)"><!-- --></A><H3>
scalerProduct</H3>
<PRE>
public double <B>scalerProduct</B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;a,
                            <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;b)
                     throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Compute the dot product two vectors.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
<HR>

<A NAME="matrixProduct(drasys.or.matrix.VectorI, drasys.or.matrix.VectorI)"><!-- --></A><H3>
matrixProduct</H3>
<PRE>
public <A HREF="../../../../drasys/or/matrix/DenseMatrix.html">DenseMatrix</A> <B>matrixProduct</B>(<A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;columnVector,
                                 <A HREF="../../../../drasys/or/matrix/VectorI.html">VectorI</A>&nbsp;rowVector)
                          throws <A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A></PRE>
<DL>
<DD>Compute the matrix product of a column and row vector.<DD><DL>
<DT><B>Throws:</B><DD><A HREF="../../../../drasys/or/linear/algebra/AlgebraException.html">AlgebraException</A> - if the sizes don't match.</DL>
</DD>
</DL>
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